TSTP Solution File: TOP026+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 18:25:18 EDT 2024
% Result : Theorem 3.27s 0.84s
% Output : Refutation 3.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 30 ( 10 unt; 0 def)
% Number of atoms : 131 ( 16 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 154 ( 53 ~; 36 |; 47 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 49 ( 34 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f38415,plain,
$false,
inference(unit_resulting_resolution,[],[f266,f267,f268,f270,f269,f17622,f18400,f272,f323]) ).
fof(f323,plain,
! [X2,X0,X1] :
( ~ v4_pre_topc(X2,X0)
| k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2
| ~ v4_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0)
| v3_struct_0(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v4_pre_topc(X2,X0)
=> k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tsp_2) ).
fof(f272,plain,
k6_pre_topc(sK16,sK18) != k3_tex_4(sK16,k5_subset_1(u1_struct_0(sK16),sK17,k6_pre_topc(sK16,sK18))),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
( k6_pre_topc(sK16,sK18) != k3_tex_4(sK16,k5_subset_1(u1_struct_0(sK16),sK17,k6_pre_topc(sK16,sK18)))
& m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK16)))
& v1_tsp_2(sK17,sK16)
& m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16)))
& l1_pre_topc(sK16)
& v2_pre_topc(sK16)
& ~ v3_struct_0(sK16) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK16,sK17,sK18])],[f99,f212,f211,f210]) ).
fof(f210,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( k6_pre_topc(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_tsp_2(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ( ? [X1] :
( ? [X2] :
( k6_pre_topc(sK16,X2) != k3_tex_4(sK16,k5_subset_1(u1_struct_0(sK16),X1,k6_pre_topc(sK16,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK16))) )
& v1_tsp_2(X1,sK16)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK16))) )
& l1_pre_topc(sK16)
& v2_pre_topc(sK16)
& ~ v3_struct_0(sK16) ) ),
introduced(choice_axiom,[]) ).
fof(f211,plain,
( ? [X1] :
( ? [X2] :
( k6_pre_topc(sK16,X2) != k3_tex_4(sK16,k5_subset_1(u1_struct_0(sK16),X1,k6_pre_topc(sK16,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK16))) )
& v1_tsp_2(X1,sK16)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(sK16))) )
=> ( ? [X2] :
( k6_pre_topc(sK16,X2) != k3_tex_4(sK16,k5_subset_1(u1_struct_0(sK16),sK17,k6_pre_topc(sK16,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK16))) )
& v1_tsp_2(sK17,sK16)
& m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16))) ) ),
introduced(choice_axiom,[]) ).
fof(f212,plain,
( ? [X2] :
( k6_pre_topc(sK16,X2) != k3_tex_4(sK16,k5_subset_1(u1_struct_0(sK16),sK17,k6_pre_topc(sK16,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(sK16))) )
=> ( k6_pre_topc(sK16,sK18) != k3_tex_4(sK16,k5_subset_1(u1_struct_0(sK16),sK17,k6_pre_topc(sK16,sK18)))
& m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK16))) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k6_pre_topc(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_tsp_2(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k6_pre_topc(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_tsp_2(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k6_pre_topc(X0,X2) = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2))) ) ) ) ),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
! [X0] :
( ( l1_pre_topc(X0)
& v2_pre_topc(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k6_pre_topc(X0,X2) = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tsp_2) ).
fof(f18400,plain,
m1_subset_1(k6_pre_topc(sK16,sK18),k1_zfmisc_1(u1_struct_0(sK16))),
inference(unit_resulting_resolution,[],[f268,f271,f420]) ).
fof(f420,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_pre_topc(X0) )
=> m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f271,plain,
m1_subset_1(sK18,k1_zfmisc_1(u1_struct_0(sK16))),
inference(cnf_transformation,[],[f213]) ).
fof(f17622,plain,
v4_pre_topc(k6_pre_topc(sK16,sK18),sK16),
inference(unit_resulting_resolution,[],[f267,f268,f271,f419]) ).
fof(f419,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v2_pre_topc(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0,X1] :
( ( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
& l1_pre_topc(X0)
& v2_pre_topc(X0) )
=> v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_tops_1) ).
fof(f269,plain,
m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16))),
inference(cnf_transformation,[],[f213]) ).
fof(f270,plain,
v1_tsp_2(sK17,sK16),
inference(cnf_transformation,[],[f213]) ).
fof(f268,plain,
l1_pre_topc(sK16),
inference(cnf_transformation,[],[f213]) ).
fof(f267,plain,
v2_pre_topc(sK16),
inference(cnf_transformation,[],[f213]) ).
fof(f266,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f213]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : TOP026+1 : TPTP v8.1.2. Released v3.4.0.
% 0.06/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n003.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 02:07:03 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (6168)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (6174)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (6169)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (6171)WARNING: value z3 for option sas not known
% 0.22/0.39 % (6170)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.22/0.39 % (6173)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.22/0.39 % (6172)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.22/0.39 % (6175)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.22/0.39 % (6171)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.22/0.40 TRYING [1]
% 0.22/0.40 TRYING [2]
% 0.22/0.40 TRYING [1]
% 0.22/0.41 TRYING [3]
% 0.22/0.41 TRYING [2]
% 0.22/0.43 TRYING [4]
% 0.22/0.47 TRYING [3]
% 0.22/0.47 TRYING [5]
% 1.29/0.54 TRYING [6]
% 1.41/0.57 TRYING [4]
% 2.06/0.68 TRYING [7]
% 2.92/0.76 TRYING [5]
% 3.27/0.83 % (6175)First to succeed.
% 3.27/0.84 % (6175)Refutation found. Thanks to Tanya!
% 3.27/0.84 % SZS status Theorem for theBenchmark
% 3.27/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 3.27/0.84 % (6175)------------------------------
% 3.27/0.84 % (6175)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.27/0.84 % (6175)Termination reason: Refutation
% 3.27/0.84
% 3.27/0.84 % (6175)Memory used [KB]: 6882
% 3.27/0.84 % (6175)Time elapsed: 0.451 s
% 3.27/0.84 % (6175)Instructions burned: 1024 (million)
% 3.27/0.84 % (6175)------------------------------
% 3.27/0.84 % (6175)------------------------------
% 3.27/0.84 % (6168)Success in time 0.482 s
%------------------------------------------------------------------------------